Greatest Common Factor of 561/47, 726/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 561/47, 726/516

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 561/47,726/516

Given fractions are 561/47,726/516

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 561,726

Greatest Common Factor of Numerators i.e. GCF of 561,726 is 33 .

LCM of Denominators means LCM of 47,516 as per the given fractions.

LCM of 47,516 is 24252 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 561,726

GCF of Fractions 561/47,726/516 is 33/24252

3 561, 726
11 187, 242
17, 22

∴ So the GCF of the given numbers is 3 x 11 = 33

Greatest Common Factor of 561,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 561,726 By Matching Biggest Common Factor Method

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 561,726 . The biggest common factor number is the GCF number.
So the greatest common factor 561,726 is 33.

Lets's calculate LCM of 47,516

Given numbers has no common factors except 1. So, there LCM is their product i.e 24252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/24252

Therefore, the GCF of Fractions 561/47,726/516 is 33/24252

Least Common Multiple of 47,516 with GCF Formula

Least Common Multiple of 47,516 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 47,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,516) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(47,516) x common factors =1 x 1 = 1

LCM(47,516) = ( 47 × 516 ) / 1

LCM(47,516) = 24252 / 1

LCM(47,516) = 24252


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 561/47, 726/516

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 561/47, 726/516?

Answer: GCF of Numerators as per given numbers 561/47, 726/516 is

GCF of Numerators i.e. for 561,726 is 33

LCM of denominators i.e. for 47,516 is 24252.

Thus, GCF of Fractions is 33/24252.Finally, GCF of Fractions for 561/47, 726/516 is 33/24252.